length n = 32
dimension k = 5
alphabet length q = 3

minimum distance d = 19

generator matrix:
01110111000001001101011101111111
00000000111112111212112212221112
10121012000020020220220220111122
22012120000200102020222021011212
12202202002000210001101121102112

projective group of automorphisms generated by:
00100
01000
00001
10000
00010

10000
01000
00100
00010
00001